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Finding the Third Proportional to 46,956 and 101,744

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Solution

The third proportional to 46,956 and 101,744 is: 220,458.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,956 : 101,744 = 101,744 : x
  2. Step 2: Convert to fraction form
    46,956/101,744 = 101,744/x
  3. Step 3: Cross multiply
    46,956x = 101,744 × 101,744
  4. Step 4: Simplify right side
    46,956x = 10,351,841,536
  5. Step 5: Solve for x
    x = 10,351,841,536/46,956
  6. Step 6: Final answer
    x = 220,458.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.